ABSTRACT

A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study.

An access

chapter Chapter 1|19 pages

Introduction

part I|3 pages

Interpolation of Functions. Quadratures

chapter Chapter 2|36 pages

Algebraic Interpolation

chapter Chapter 3|29 pages

Trigonometric Interpolation

chapter Chapter 4|23 pages

Computation of Definite Integrals. Quadratures

part II|3 pages

Systems of Scalar Equations

chapter Chapter 5|54 pages

Systems of Linear Algebraic Equations: Direct Methods

chapter Chapter 6|38 pages

Iterative Methods for Solving Linear Systems

chapter Chapter 8|18 pages

Numerical Solution of Nonlinear Equations and Systems

part III|3 pages

The Method of Finite Differences for the Numerical Solution of Differential Equations

chapter Chapter 9|54 pages

Numerical Solution of Ordinary Differential Equations

chapter Chapter 11|18 pages

Discontinuous Solutions and Methods of Their Computation

chapter Chapter 12|26 pages

Discrete Methods for Elliptic Problems

part IV|3 pages

The Methods of Boundary Equations for the Numerical Solution of Boundary Value Problems